60 citations · 62 across the 4 of their papers we have counts for
4 papers
An Enhanced V-cycle MgNet Model for Operator Learning in Numerical Partial Differential Equations
Jianqing Zhu, Juncai He, Qiumei Huang
This study used a multigrid-based convolutional neural network architecture known as MgNet in operator learning to solve numerical partial differential equations (PDEs). Given the…
A second order accurate scalar auxiliary variable (SAV) numerical method for the square phase field crystal equation
Min Wang, Qiumei Huang, Cheng Wang
In this paper we propose and analyze a second order accurate (in time) numerical scheme for the square phase field crystal (SPFC) equation, a gradient flow modeling crystal dynamic…
A third order BDF energy stable linear scheme for the no-slope-selection thin film model
Yonghong Hao, Qiumei Huang, Cheng Wang
In this paper we propose and analyze a (temporally) third order accurate backward differentiation formula (BDF) numerical scheme for the no-slope-selection (NSS) equation of the ep…
Finite Element Methods For Wave Propagation With Debye Polarization In Nonlinear Dielectric Materials
Qiumei Huang, Shanghui Jia, Fei Xu +2
In this paper, we consider the wave propagation with Debye polarization in nonlinear dielectric materials. For this model, the Rother's method is employed to derive the well-posedn…